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Finding the Fourth Proportional to 2,770.22, 3,822.73 and 1,590.46

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Solution

The fourth proportional to 2,770.22, 3,822.73 and 1,590.46 is: 2,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.22 : 3,822.73 = 1,590.46 : x
  2. Step 2: Convert to fraction form
    2,770.22/3,822.73 = 1,590.46/x
  3. Step 3: Cross multiply
    2,770.22x = 3,822.73 × 1,590.46
  4. Step 4: Simplify right side
    2,770.22x = 6,079,899.16
  5. Step 5: Solve for x
    x = 6,079,899.16/2,770.22
  6. Step 6: Final answer
    x = 2,194.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.